05-树8 File Transfer(25 分)

本文介绍了一种用于检测计算机网络中任意两台计算机间文件传输是否可行的算法。通过输入连接信息和查询指令,该算法能够判断网络的整体连通性,并统计网络中的连通组件数量。

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We have a network of computers and a list of bi-directional connections. Each of these connections allows a file transfer from one computer to another. Is it possible to send a file from any computer on the network to any other?

Input Specification:

Each input file contains one test case. For each test case, the first line contains N (2), the total number of computers in a network. Each computer in the network is then represented by a positive integer between 1 and N. Then in the following lines, the input is given in the format:

I c1 c2

where I stands for inputting a connection between c1 and c2; or

C c1 c2

where C stands for checking if it is possible to transfer files between c1 and c2; or

S

where S stands for stopping this case.

Output Specification:

For each C case, print in one line the word "yes" or "no" if it is possible or impossible to transfer files between c1 and c2, respectively. At the end of each case, print in one line "The network is connected." if there is a path between any pair of computers; or "There arek components." where k is the number of connected components in this network.

Sample Input 1:

5
C 3 2
I 3 2
C 1 5
I 4 5
I 2 4
C 3 5
S

Sample Output 1:

no
no
yes
There are 2 components.

Sample Input 2:

5
C 3 2
I 3 2
C 1 5
I 4 5
I 2 4
C 3 5
I 1 3
C 1 5
S

Sample Output 2:

no
no
yes
yes
The network is connected.
#include<iostream>
#include<fstream>
#include<vector>
#include<algorithm>
#include<string>
#include<map>
#include<functional>
using namespace std;
//ifstream inFile("C:\\Users\\DELL\\Desktop\\in.txt", ios::in);
int FindRoot(vector<int> & v,int m)
{
	if(v[m]<0){
		return m;
	}else {
		return v[m] = FindRoot(v, v[m]);
	}
}
void Input_connection(vector<int> &v)
{
	int root1, root2,m1,m2;
	cin >> m1 >> m2;
	root1 = FindRoot(v, m1);
	root2 = FindRoot(v, m2);
	if(root1!=root2){
		v[root2] = root1;
	}
}
void Check_connection(vector<int> &v)
{
	int root1, root2, m1, m2;
	cin >> m1 >> m2;
	root1 = FindRoot(v, m1);
	root2 = FindRoot(v, m2);
	if (root1 != root2) {
		cout << "no" << endl;
	}else{
		cout << "yes" << endl;
	}
}
void Check_net(vector<int> & v)
{
	int count = 0;
	for(size_t i=1;i<v.size();++i){
		if(v[i]<0){
			count++;
		}
	}
	if(count==1){
		cout << "The network is connected." << endl;
	}else{
		printf("There are %d components.\n", count);
	}
}
int main()
{
	int N;
	cin >> N;
	vector<int> v(N+1);
	fill(v.begin(), v.end(), -1);
	char In;
	do{
		cin >> In;
		if(In=='I'){
			Input_connection(v);
		}else if(In=='C'){
			Check_connection(v);
		}else if(In=='S'){
			Check_net(v);
		}
	} while (In != 'S');

	//inFile.close();
	system("pause");
	return 0;
}

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